## Elementary Geometry for College Students (5th Edition)

The statment that the triangles are congruent is as follows: $$\triangle ABC\cong\triangle FED$$
Since two triangles are congruent, and $\angle CAB\cong\angle DFE$, two sides of $\triangle ABC$ that includes $\angle CAB$ are each congruent with two sides of $\triangle DEF$ that includes $\angle DFE$. That means $\overline{AB}\cong\overline{FE}$ and $\overline{AC}\cong\overline{FD}$. Therefore, $\overline{BC}\cong\overline{ED}$, since two triangles are congruent. That means, the statment that the triangles are congruent is as follows: $$\triangle ABC\cong\triangle FED$$ (Notice the order of the corresponding points. Any sides $\overline{AB}$, $\overline{AC}$ or $\overline{BC}$ must be congruent with the corresponding sides of $\triangle FED$. The angles must be congruent as well.)